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Finding the Fourth Proportional to 5,783.22, 8,669.36 and 5,252.87

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Solution

The fourth proportional to 5,783.22, 8,669.36 and 5,252.87 is: 7,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.22 : 8,669.36 = 5,252.87 : x
  2. Step 2: Convert to fraction form
    5,783.22/8,669.36 = 5,252.87/x
  3. Step 3: Cross multiply
    5,783.22x = 8,669.36 × 5,252.87
  4. Step 4: Simplify right side
    5,783.22x = 45,539,055.87
  5. Step 5: Solve for x
    x = 45,539,055.87/5,783.22
  6. Step 6: Final answer
    x = 7,874.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.